拓扑向量空间中集值映射的不动点  

Fixed Points of Set Valued Mappings in Topological Vector Space

作　　者：刘保庆[1] 孙伦开 

机构地区：[1]南京财经大学应用数学学院,江苏南京210046

出　　处：《淮海工学院学报（自然科学版）》2017年第4期1-4,共4页Journal of Huaihai Institute of Technology:Natural Sciences Edition

基　　金：国家自然科学基金资助项目(11401296);江苏省自然科学青年基金项目(BK20141008)

摘　　要：在拓扑向量框架下,研究了一类集值压缩映射的不动点,并且证明了不动点的唯一性.较现有成果来说,所得结果的定理条件和结论更加一般.特别地,如果集值映射退化为单值映射,则能够得到3个著名的单值映射的不动点结果,即Banach压缩不动点、Kannan压缩不动点和Chatterjea压缩不动点.This paper studies the fixed point of a class of set-value contractive mappings under the framework of topological vector,and proves the uniqueness of fixed point.Compared with conclusions other authors obtained,the theorems and the conclusions of this paper are more general.In particular,if the set-valued mapping is degenerated into a single-valued map,the fixed point result of three well-known single-valued maps can be obtained,which are Banach compression fixed point,Kannan compression fixed point and Chatterjea compression fixed point.

关 键 词：不动点 集值压缩映射 锥度量空间 

分 类 号：O177[理学—数学]